Less transplanting the better. If the 5 gallon pot is final , then it will be fine.
Remember that the root ball can be damaged every time you screw with it.
Some growers go thru Multi pot transitions which is ridiculous . I seeded into. 3 or 5 gallon from the start without issues. If you think plant is being root bound then transplant and let her grow. Now is the time to make sure 5 gallon pot has adequate draining BEFORE you plant. Also ... One of the most important things I found during seedling weeks 1 thru 2 is that most premium soils have enough nutes to carry it to week 3. Then I start their VEG FEEDING.
Every time you handle the rootball you tear small roots away , why keep doing that ?