For precise locations, only the various units war diaries would help, an expensive business!
In outline though the first sheet is giving us:
As you have noted, it starts with him in 4 Lines of Communication Signals at Colwyn Bay re-mustering (changing trades) to driver i/c (driver internal combustion which distinguished him from for example a horse transport driver or steam vehicle driver) and then going with them to North Africa.
5 Oct 1940 embarks for a theatre of war arriving at Base Depot Egypt (Alexandria) and is with 4 L of C Sigs by 25 Nov 1940. The campaign in N Africa had been under way since June 1940 and the entries to the bottom of the sheet in March 1945 are covering his service in the communications system between the rear supply areas and headquarters and the forward elements in the Western desert (Libya and Egypt) campaign, then the Tunisia campaign and then (perhaps) the invasion of Sicily and the Italian campaign. The detailed entries:
The two bracketed entries in 1941 are him in hospital (in N Africa somewhere!) and while there is placed, for administrative purposes on the X 2 list which is a way of accounting for him away from his unit.
The May 1943 entries are him moving to 8th Army Signals (similar tasks as with L of C) and going up a bit in the classification ladder. Significantly they are in the run up to the invasion of Sicily (H Force). The August 1943 stamp relates to him (and his unit) now not under the Middle East Force and now under the British North African Force (the documentation didn’t always keep up with the facts!)
Another short spell in hospital in Aug/Sep 1943 and a change of trade to signalman.
The Africa Star and the 8th Army clasp that went with it for him recognises his service during the 1940-1943 in N Africa.
In March 1945 he has done over 4 years overseas (that is indicated by the word PYTHON) and was ready for a home posting so he is posted away from 8 Army Sigs to 3 Transit camp and we can’t tell which one.
A problem here is that there was 3 Transit Camp in N Africa and in Italy. He doesn’t seem to have the Italy Star and his document doesn’t have the abbreviation CMF (Central Mediterranean Force) which would indicate he was in Italy after BNAF so one would need to find out the specific movement of 8th Army Signals during the 43-45 dates.
He is back in UK in Thirsk at the end of March 1945, goes on leave and in Jun 1945 is posted there to 5 Anti Aircraft Group Signals Unit (Mixed).
From there in Sep 1945 he is posted again to 55 Infantry Division (a reserve division).
Sheet two in due course.
MaxD