WestCoast
Your degree won't make much difference I'm afraid. If you were applying for one of the mentored schemes that look to place their graduates into jets or props then a degree might be of some benefit, but such schemes are aimed at applicants with little or no flying experience. 1500h TT with time on light twins flown as multi-crew may well be useful, but I'm presuming it is on a non-multi pilot aircraft so I don't know how a UK operator would view those hours - bear in mind I don't work in pilot recruitment, I'm just a line pilot.
That said if you were to move to the UK with 1500h your chances of landing a job on a prop/jet are at least improved; as you say it seems in Canada you require quite a lot more experience to even hope to get in the RHS of a 737 etc. To draw a parallel with the UK, by the time I have the 4000h TT you mention to get your first sniff in Canada or the US I would expect to have my first jet command in the company I currently work for. I find it strange the UK differs so much compared to most other parts of the world on this subject.
Good luck with whatever you decide to do
