It's not for a lawyer but a border officer to make that decision. The lawyer can overpromise you anything. What documents did you get when you left the border? Conditional removal order, BOC?
Yes, you can do anything to boost your score above the cut-off.
You just need to meet the minimum requirements for the class you were invited in, the overall composition of points doesn't matter.
Your case should have been referred to IRB, did you have an eligibility interview with a border officer? Have you disclosed a prior refused refugee claim?
You will just have to wait. No way to really expedite it.
You can send your passports but they won't sent it back abroad to Russia, only within Poland.
But you submit your passports in Russia.
Did you have an eligibility interview? Did you disclose your refused refugee claim in US?
You are not eligible cuz you crossed from Safe Third Country (US) and you had a refused refugee claim before. Have you been referred already?
The issue is that this work outside of Canada doesn't qualify as Canadian experience, but it can qualify as foreign experience. Just need to have solid proof of that not to trigger additional questions of credibility.