I think you are ignoring the advice from /u/count2infinity2, and just want to arrogantly state that you proofread things, without actually considering the advice given. I'm sure you know just as well as anyone else not to use slang in your resume, so I'm not talking about that. And I'm also sure you right clicked the red squiggly lines in MS Word and corrected them. However, fixing slang and misspellings does not mean you've proofread something properly. Based on, "I know this is just reddit so you may not be paying much attention to grammar," I assume he/she saw the same mistakes I saw in your post. It's Reddit/online, so I'm not saying you need to write like a book, but your post shows pretty poor writing skills. I'm not trying to be a dick, just trying to help. Someone gave some advice about proofreading that you seemingly just disregarded without a second thought. Due to the frequency of mistakes in your post, I doubt they are just internet laziness or errors, but instead I'm willing to bet they reflect your overall writing ability. (If English isn't your first language, I know it's not easy.)

Here are a handful of examples:

I graduate with BSc in Chemistry 2 years ago and would appreciate some advice...

This should be:

I graduated with a BSc in Chemistry two years ago, and would appreciate some advice...

1.5 years ago, I accept accepted a part time, on call position in an analytical laboratory.

(I didn't change 1.5 because it's ok to be lazy online.)

but due to budgetary reason reasons

I was have been allowed to continue my part time position while I continue to look for a full time work elsewhere.

I’m not sure if it matters, but I live in the west coast in Canada.

In in the west coast?

see openings that much often for laboratory positions.

Based on my experiences experience, I think I would be very suitable in an analytical laboratory and as a research technician. I have very hands on experience in sample preparation and instrumentation usage [remove space] ( which may help or hurt my chance in analytical labs?) and research in analytical and organometallic chemistry. No papers published thought

From what I gather, it doesn’t seem worth it unless I do a pHD ...

PhD

or pursue an advance advanced degree in a complementary field.

but not sure how to apply for work outside my province.

You're not applying to work in another country, so it does not matter in which province the employer is located. You apply online just like anywhere else that isn't in driving distance to drop of a resume.