If you're gonna re-do the bearings, check the axle nuts first, be sure that they're tight and torqued properly. Then jack up the rear of car and rotate the wheels with the the car in gear and the e-brake off. Put one hand on the axle and rotate the wheel with the other. If there's any independent movement of the wheel you might have bad splines in the drum. Even a tine bit of wear at the splines is gonna translate into some serious movement at the tire, and it'll only get worse more quickly than you can imagine.
If everything checks out, rock the wheel in and out at the top and sides to check for slop. If there's is any at all, you may need new spacers as well as bearings, if there is a lot, you'll need new stub axles.
Thing is, everything is gettin' old, even if it looks good the wear will surprise you. If you combine worn shims, with an old axle housing and toss in just a smidge of stub axle wear, you'll end up with an inch (or more) of play at the tire's edge.
I'm only cautioning you since I'm in the midst of all of this with the 356, and STILL finding various pieces and parts that need replacing or re-bushing. When and if you DO manage to get all of the stock components up to spec, and add just a few aftermarket up-grades, you're just gonna be SO THRILLED with the results.
These platforms can be made to perform WAY better than the original Speedsters that tore it up way back when, you just need to get in and do the work.