We're not experts but we carry a small tool kit in a tupperware type box. Inside is a hammer (we sawed off some of the wooden handle so it would fit in the box!) small & large phillips and slot screwdrivers, tape measure (especially useful if you don't keep your van at home), pliers, adjustable spanner, bradawl and electricians tape. We also carry a small selection of screws, spare bulbs for all road lights, spare spotlight bulb, various batteries, a roll of duck tape (very useful for lots of things), fuses for the car towing electrics (used these twice!)and a head torch for helping with repairs in the dark. We've also recently added a lump hammer as we found our rubber mallet useless at hammering awning pegs into hardstanding pitches, especially in dry weather. Know some carry a spare water pump but we don't bother. We don't take a drill but know lots do to wind down corner steadies. It's a fine line between being prepared and weight-watching.
You'll find that you're very rarely stuck when needing a hand on site as caravanners are, on the whole, a very friendly and helpful bunch who rally round (pardon the pun!) to help fellow campers in crisis.