The needle isn't likely to free up much in use--it neither moves that much nor that quickly. Blasting Lock-Ease (or similar) down the cable is a good idea, just make sure the straw is well-seated in the can. WD wouldn't be nearly as effective as something with graphite in it, either on the speedometer head itself nor the cable. When speedo-cable lube was a thing, it was always "graphited". I haven't seen it in years.
I would suggest removing the cluster entirely to have a good look-see at the PCB and pins. Make sure you've got good continuity between everything, and check the terminals in the "gatling gun" plug to make sure they'll connect securely. While it's apart, replace every f__kin' bulb in the cluster. A box of bulbs is literally less than $5 at my store, and then you know they're all new. I did not change them all in mine and had a bitch of a time replacing them with everything installed and the bench seat in my way.
For added peace of mind, I'd suggest getting AllStar part #ALL99059 (street price around $20) to replace your OE oil switch. The factory switch is rated for 4PSI, which is simply too late. The AllStar part turns the light on at 20PSI, which gives you time to kill the engine before everything's junk. I have a 1/8"NPT street tee installed in my W2 engine; one side feeds a VDO gauge and the other is for the AllStar switch. At idle, the light is just flickering and the gauge is right at 20PSI.
That 3310 is much-better suited to your combination unless you discover a radical roller cam and a 4,000+ stall speed. I'm going to assume it's a 3310-x since "non-dash" (OE Chevy) 3310s tend to be rather expensive. The lower the "dash" number (i.e. 3310-1) the better. The OE Chevy 3310 has a fantastic air-bleed/"emulsion port" calibration for real-world driving, including fuel economy. For some reason, Holley changed all that for the aftermarket ("dash") versions. The newer the carb, the worse it is. It's probably not a big deal to you considering the intended usage, but if you end up loving to drive the thing (it could happen!) and want to improve it, the OE calibration is tough to beat.
I'm all set for silly carbs, having no less than five double-pumpers already, the smallest (two) being 750CFM and the largest being the 830 on the W2 engine. I also have a 1355 triple-pumper, a.k.a. the Direct Connection mechanical-secondary Six Pack setup. That's for the 440 with no intended home at the moment.