Dave,
I have just gone thru the multiball conversion of my HH as Sparky suggests. I will post some pics when I get time. If its in the budget I would highly recommend Pascal's PI-80 board from flippp.fr for enhanced troubleshooting and coil longevity, for example if there is a coil problem the board will display the coil that had the error and what the error was as well as turn off voltage to it preventing coil burn. His board is also required if you wanted to do the multiball upgrade but also runs the standard single ball if you like. I bought a new soundboard from Swemmer Electronics that included the speech upgrade and for me personally it does fit the game but that is something everyone has to decide for themselves. As far as your kick out hole I would guess either the switch that tells the game the ball is there is stuck in the closed position intermittently or the coil to fire the kick is burnt. Check Fuse F14 (it powers main playfield up kicker, right side kicker and trap door 24VDC) and replace with 2.5A slow blow if its bad. I have a good working set of original boards I could sell you for cheap if you wind up needing them but my game was an early edition prior to main production so we would need to do a bit of digging to ensure it would work for you. As others have suggested the grounding mods are a must and I would recommend adding a pop bumper driver board to the vertical up kicker to enhance the reliability of it and reduce chance of the coil being stuck on. There are many guides on the internet for the VUK but if you cant find it PM me and I will send you a snipit from Clay's guide. Another detail about the VUK reliabilty that seems hard to find is that it requires a spring that pulls the tube towards the U shaped bracket mounted to the lower playfield so that it always sits in the same place. My game was missing that and it would be aligned perfect one second and then missing the next. Once I figured that out my VUK works perfect every time. If you are missing the spring also and want pics to better understand how it all ligns up let me know. It really is a wonderfull game with great artwork, hope your rebuild goes well for you.