Can I make player start with fists?

[Project Shadowcat]

K. Will the ENTER script get run every time the player enters the map or only the first time?

Only the first time. Is it a hub, or are you expecting players to respawn?

[Potnop]

Probably a hub.

[XutaWoo]

You'll have to copy the script then, with a different script number and RESPAWN instead of ENTER. Don't get rid of the ENTER script, though.

[Macil]

K. Will the ENTER script get run every time the player enters the map or only the first time?

ENTER will run for every player the first time they enter a level (important: enter scripts don't always only run when the level starts - players can join in partway through a level and run their ENTER scripts). You can also use RESPAWN for when players respawn.
If you need to run a script when arriving back to a map, use an UNLOAD script (which runs when the level is left) and delay(1); in it. Everything after the delay(1); will run when the map is re-entered (but not activated by a player obviously. If you need to do something specific to a player, then you'll need to use some hackery of scripts).