Board and certification fees come first because those processes take longest; translations and the port-of-entry or petition fee come last. The employer may reimburse, but the applicant is usually the one who must pay the licensing bodies directly.
Pay in the order of the dependency chain and keep private fees separate
The state board sets its own licensing charges and the credentialing organisation sets the certification fee; neither is a U.S. immigration fee and neither appears in the USCIS schedule. Those are the first outlays because they start the longest clocks.
Certified translations of the licence and diploma follow. The immigration cost itself is either the fee collected at the port of entry for a Canadian TN applicant or, if the hospital prefers to file Form I-129 in advance, the petition fee in the USCIS fee schedule (G-1055), plus any optional premium-processing charge. Ask the hospital in writing which of these it will cover and whether reimbursement is conditional on a period of service.
Advisory fees for preparing the package are private charges and should be quoted separately so the applicant can see what is a government fee and what is not.