Mary Rose era and Agincourt era clothing are very, very different. Easier to find Agincourt era clothing photos online however. If you look at some of the kit worn by the guys who did the recent 600 year anniversary you'll have a good idea. Can't get much better than Nick Birmingham for that, if you can find some images. He's got it spot on.
Lucasade - they're not working men, they're soldiers. Very different thing! Paid soldiers hired for the kings flagship aren't "working men". Plus, despite being at battle when it sank, the MR was on route to the Isle Of Wight to drop off soldiers as well. It wasn't sailors that were using the bows. That's my understanding anyway. May be wrong!