Are there any restrictions in the career when you bought a starter pack

I've thought of this myself after realizing that my gallante standing was -7 (running with a Caldari mission corp will get you there pretty fast), and eventually decided to just pump up my social skills. Its quicker then trying to get your standing up, and unless you've completely buggered your standing with a faction you shouldn't be killed on site if you happen to wander into space claimed by a faction that doesn't' like you too much.

The only time I'd worry about having great standing with all four factions is if your character is going super hardcore into industry(and I mean 100% non-stop indy character). If you're in EVE for the pew pew, just keeping your faction standing around the -2/3 area for everyone is good enough to not have your ships popped on sight should say, a war target fly through space that you'd get popped on sight for.

From the Incursion patch notes: "You can now anchor a POS in a 0.4 system without faction standing." Incursion Patch Notes, Build 221279

So you do not need standing to anchor in low or null.