Congratulations! As for removing the bridge p/u cover being a "must-do" mod? Well,
some people think so; some don't. My '01 Desert Gold 4003 didn't have one on it when I bought it. The original owner took it off; apparently never played the bass; and somehow managed to loose the cover..
My '73 4001 still has it's original cover. Previous owners played and beat the snot out of it without having to take it off, so... you be the judge. The cover bothers lots of people; doesn't bother me. But... I play them the way they were intended to be played originally (I think); between the pickups, with a pick. Play yours for a while first, before you start yanking things off. If it bothers you, then you can take it off - fairly easily. Not
quickly - but fairly easily. There are some nice bezel surrounds that will fill the gaping hole that taking the cover off will leave, if you decide it's got to go. Just hang onto it, though. They've gotten pretty expensive...
As for the usefulness of the cover? Well, the pickups
are single coils, and wired so there's no humbucking effect if they're both on. You can - and will - get some hum and other noises from them. The cover is - according to Rick's CEO/owner - supposed to provide a little shielding. Since it's a piece of plastic, with a very thin coating of copper, covered with thin chrome, I suppose it does. But, it's just the tiny difference between "some" and "none". It's only real use is to sort of mimic the original "horseshoe" pickup that Rick used to put back there. Which, IMO, it does reasonably well.. Anyway; enjoy your new Rick!