You really are not competitive with those quals (sorry). You need over water experience in a 737 or larger sized aircraft. An internal rec goes a long way to differentiate you from another candidate with similar experience but will not leapfrog you over someone with, say, 747 time and no rec.

Get the PIC time and you'll be competitive at all the major airlines as well.

I have to ask since you are relatively new to the industry, why dead set for Atlas? If it's the 747, trust me, after 6 months it's just another jet. Go to a major, make a million+ more dollars over the course of your career , use 1% of it to buy a type and check that box.

Not bashing Atlas, it was a good gig for me over 5 years.