I'll take a shot at this based on having been on the US F-Class Team for about 10 years and as a former US Team captain, and having been coached by several top Palma coaches. Just a few things that come to mind right off the bat:
1) You need to be able to take direction and criticism well.
2) You have to have good loading techniques, accurate rifle, barrel as well as very accurate loads.
3) The coaches are doing all the heavy lifting and deserve the utmost respect. Listen to them even if you disagree with their calls or anything else.
4) Your individual score in a team match means nothing! If you are the type that goes around boasting that you were the "high shooter" on your team, then goodbye!
5) Most of the captains have a lot of experience and are good, some are bad and get weeded out (or weed themselves out) and some are very methodical and logical. They have a lot of things to deal with and are constantly being barraged with questions from team members. Keep your communications with the Captain cordial, and to the point and also infrequent. The coaches on the Palma team are usually very good, and I know on this latest cycle - they are absolute world class! Listen to that group.
6) Your job is to be a good trigger puller and good helper to the rest of the team. Its a team, so your team members are just as important as you. Your job is never to second guess a coach when on the line.
7) Don't bad mouth your team mates or be the guy that ridicules others, even on opposing teams. You do that and chances are you will probably be off the team in quick order. You don't need to be best friends with your team mates, but need to have a very good relationship with them.
8) Finally, remember that your job, as a shooter, is the easiest on the team. Get your gear on the line when called. Lay down, aim at the right target and listen to your coach. Help your team-mates with their gear if they need it. Help the coaches when they need help. Then stay out of everyone's way.
That's all that comes to mind right now. Hope it helps.