There should be a spawn protection at Arena like in Adventure for 2 seconds and also there should be a way to change your gear. It is really annoying when you keep dying even without getting your senses and if you have a sniper, it is clearly disadvantage at close combat.
Its a disadvantage that you yourself put yourself in, you got caught out in an ill prepared load-out. You could have had a blunder at the start of a fight, yet you chose the rifle in this case. Why should the victor be punished by allowing you to get a better load-out to punish their successful play?
Also no to spawn protection, delaying ships in Arena is a tactical maneuver in some cases. The more time a ship spends anchored not moving is more time that another ship can be widening their lead.