Getting into CRT repair is a complete rabbit hole of a journey, theres alot going on in these chassis boards to create a rasterized image in a vacuum tube.
That said if your into electronics repair its a pretty interesting journey though too.
I will second Kikaso about solder joints. There are quite alot of them and from experience of importing and shipping cabs quite frequently I can attest to things getting rattled and lose from transport even cables. Temperature changes especially during the winter may also have pushed a dried failing capacitor to its limits.
There are so many things that can possibly go on you really just kind of have to dig into it and narrow the issues down to the circuits involved and such and test there, that at least is the proper way to work on these.
If your having issues with your V/H hold then I would go through and double check anything involving that stuff. So check your remote board solder joints on the mechanical cable connections, the pots (these could be old or dirty too), check the remote board cable going from the remote to the chassis (maybe move it around a tad while the chassis is on see if the image reacts), then work your way into the chassis pcb.
Keep your wits about you, these 29" tubes run in the 20,000 V range on the anode of the CRT. (The anode being the red cable from the FlyBack with the suction cup and the back of the tube where that attaches.)
When the tube is energized you can think of it a bit like a large capacitor, the anode supplies a massive DC voltage to the tube to energize it to help with driving the electrons or w/e that are shot out from the electron guns from the neck of the tube. There's metal springs and straps in the corners of the tube this is the main ground for the CRT tube.
The tube needs to be discharged when working on it, some monitors will have a bleed off circuit but that is besides the point, if you never removed this stuff you SHOULD learn how to do a discharge and should do one.
If you never worked around HV tubes you really need to watch a few videos discussing CRT safety so you get an idea to know when and where you can touch, always work with one hand too please.
I worked around enough of them its not really scary to handle and work inside them while the tube is on or off but you HAVE to respect the CRT's HV especially while it is running and know where you put your hands and where they can go.
Otherwise you will get a possible massive bite if you are just haphazardly poking your hands around in these things.
Good luck with the repair work, if you have to send it off to someone for some reason I have had good results with Sharp Image Repair in the US.