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I think the 2nd clip is "to see" and then probably the initials of a doctor.
"Infirm" in the 4th clip is probably short for Infirmary.

Yes, I agree that father and sons seems likely - and it matches the info that we have in our family tree.
Using those Court Leet attendance records & documents, I'm currently trying to untangle the many John, William and Robert Grahams in the previous generations - with limited success so far (!!) but I think the Court Leet Steward/s would've found my spreadsheet very useful 

Thanks to your Latin translations & transcriptions, I've become familiar with some of the vocabulary, phrases & meaning of the records, and hope my translation of the attached from the 1677 Court Leet is almost correct - but I probably have the rent wrong:
"And similarly came John Graham son of Robert and took from the surrender of  Robert Graham William Graham his son & William Graham of Wetheral etc Two acres of land lying and being at Boontowne at the annual rent of one shilling 10 pence”

The attached Latin surrender/admittance is from the 1729 Court Leet.
I think it is the surrender of a messuage/tenement by John Graham snr to [his son?] John Graham jnr with reversion to John jnr's brother Robert Graham - but I would be grateful if it could be translated for me.
Many thanks.

p2 transcription - hopefully someone else will be able to correct or replace doubtful or missing words, which are in red text:

Mortgage or Mortgages at my death or thereafter to become due thereon And also
to and with the payment of the principal sum of Seven hundred pounds now due
and owing on bond from me and my said Sons to The Revd Henry John Aickitt
Blake Clerk or so much and such part thereof as shall be remaining due and
unpaid at the time of my decease and all Interest then due or thereafter to become due
thereon And I do hereby declare and direct that neither my Executor hereinafter
named nor any part of my personal Estate and Effects shall be subject or liable to the
payment of the said Mortgage or Mortgages and Bond debt or the Interest thereon
respectively as aforesaid or of any part thereof Item I give and bequeath to my said
Son Henry Angier the sum of fifty pounds and to my Niece Elizabeth Colt now residing
with me the sum of two hundred pounds to be paid to them respectively by my Ex[ecut]or
hereinafter named within twelve months next after my decease And I give & bequeath
to Elizabeth King the daughter of Ann King of Histon aforesaid the sum of One hundred
pounds to be paid to her by said Executor hereinafter named within twelve months
next after my decease in case she shall then have attained the age of twenty one
years or as soon afterwards as she shall attain that age but without any Interest
for the same in the meantime AND AS TO ALL THE REST RESIDUE AND
REMAINDER of my ready money debts and Securities for money household
furniture goods chattels Personal Estate and Effects whatsoever and wheresoever
and of what nature kind or quality soever / after and subject to the payment of all my
just debts Except the said Mortgage or Mortgages and Bond debt hereinbefore directed
to be paid by my said Son Henry Angier his heirs or Assigns and my funeral and
testamentary expenses / I give and bequeath the same and every part thereof unto
my said Son Richard Angier to & for his own use and benefit absolutely And I do
hereby declare that all sum and sums of money and other property whatsoever
which I have already advanced or shall or may at any time or times hereafter
during my life advance to or for the benefit of my said Sons Richard Angier and
Henry Angier respectively and which shall be in their respective possession at the time
of my death were and are intended by me to be absolute gifts and not loans and that
my said Son Richard Angier shall not as my Executor have or make any claim or
demand upon my said Son Henry Angier his Exors or Adm[inistrat]ors for or in respect of
any such sum or sums of Money or other property And Lastly I make nominate
constitute and appoint my said Son Richard Angier sole EXECUTOR of this my
my last Will and Testament hereby revoking and making void all former & other Wills
by me at any time heretofore made In Witness whereof I the said John Angier the
testator have hereunto set my hand and seal the sixteenth day of February in the year
of our Lord One thousand Eight hundred and eighteen John Angier Ss
Signed Sealed Published and declared by the said John Angier the Testator as and
for his last Will and Testament in the presence of us who in his presence at his
request and in the presence of each other have hereunto subscribed our Names as
Witnesses Rob Gee ____ Ed Randall ______ Jos Beldam Clerk to Mr Gee

PROVED at London the 8th November 1838 before the Judge by the Oath
of Richard Angier the Son the sole Executor to whom Admon was granted having
been first sworn by commission duly to Adminster

Text in margin [// =  line breaks]:
On the 2nd April 1845 Admon // with the Will annexed of // the Goods Chattels and Effects //
of John Angier late of Coton // in the County of Cambridge // Gentleman deceased left //
unadministered by Richard // Angier deceased whilst living // the Son sole Executor and //
Residuary Legatee named and the // said ----- was granted to Ann // Angier Widow the Relict and //
Henry Angier the Brother and // Administrators by the Authority // of the Consistory Court of Ely that // being the proper --------- // bequests of the Goods of the said // Richard Angier deceased //
having been first sworn by //  Commission duty to Administer // The said -------- died intestate

Could you please translate two more Latin admittances, which I've attached ?
And also help decipher two words from some English text attached? The text is from a 1707 Court Leet jury decision regarding the size of a piece of land, and reads:
"upholding the Gate, & hedge of the breadth 10 yds as afores[ai]d [etc?]
John Graham Son of William Graham in his Fathers name & upon his
[authority?], being of one party & Tho.Lowson the other party have Referd the"
I think the two words (in red text) are abbreviations.
Many thanks.