I can help regarding the turn signal. If it's a problem where you put on a left signal and it won't turn off, it's probably the relay - BUT, it should do this for the right signal too.

However, if it's left-only, then it's the contacts wearing out on the switch that selects left and right, on the stalk to the left of the steering wheel. Not hard to replace if you don't mind taking apart the steering wheel assembly.... I've been able to do it on two Volvos (CRAP electrics), Honda should be exactly the same. You will probably need the part from the dealer, unless you have a nice junkyard nearby where they don't let a car get rained on/in.

As for the rubber-on-rubber noise/feel/thing... maybe when the column is apart for the switch fix (if it is the the switch and not the relay), you'll find whatever parts aren't aligning properly anymore and fix two birds with one stone. Errrrr..... yeah.