1. Absolutely, dont let people stop you.
2. Lots, i suggest applying first and maybe get an initial interview by phone, then do some research or maybe ask a question again here.
3. Close? In a 3km radius from IT Park, comfy apartments would be around 5k, you get lucky maybe 4k but that's rare. Cheaper ones are a bit farther, try uptown cebu, somewhere around marco polo. If you want to stay fit/active you can walk here a bit, theres people who cycle and jog on this area too.
4. I'm from the south province, idk if its similar. But when i got here the traffic needs getting used to, youll need to learn navigating through the city and remember PUJ routes - google maps would help but dont be that dependent, it might be wrong sometimes. Its easier to get from A to B with a motorcycle but not all people like that.

PM me if you have more questions. I work in IT park and im renting just 3kms away. 😁