FYI, you want to adjust the +5V so you measure 5.00V on the game board, using the game board 5V test point, and GND test point on the game board you're measuring. You ideally should measure each one of the game boards separately, using the GND's on the board you're measuring. (Always use the GND on the board you're measuring, as that gives you the voltage that the chips on the board 'see'.)
You may find the 5V measurements differ slightly between the 3 boards, but you want them all in the 4.90-5.15 range if possible. (It's ok if one is a bit low, to prevent the others from being too high. Most TTL chips work down to 4.7 or even lower, not that you want to run them that low, but you have some room to spare, so 4.90 won't cause any harm.)
I don't have data for Star Wars specifically, but on most other vectors, you typically get anywhere between 5.3 and 5.8V on the AR, once you have the game board dialed in to roughly 5.00, depending on how dirty and oxidized your edge connector is. You will lose some power in the wiring and connectors, but if the AR is running at 7V, something is wrong.
It's not uncommon for the pot on the AR to cause issues, as they are an open design, and dirt gets in them. I always replace them with new sealed pots, on every AR I refurbish. You may want to work the pot back and forth a few times (with the game board unplugged), then re-set the 5V on the AR, then power down, plug in the game board, and tune it again on the game board, and see if that cleans the pot at all.
The voltages on the XOUT and YOUT look ok. As long as you're getting roughly 2-4V AC and between -1 and +1V DC on both, you should be ok. They all will jump around as the game cycles through attract mode, but you just don't want the DC to be fixed at +/-2V or more, as that's then you're getting into the danger zone for the monitor.
As for the regulators, there should be +15V and -15V test points on the game board, to check those. Near the video adjustment pots. There are also +12 and -5V test points on the sound board (i.e., the smallest of the 3 game boards).