The red bar with one contact soldered (on one side) is a bunch of resistors (a single-in-line resistor network). It's supposed to be like that.
Plan A: I'd look at reseating the EPROMs. Specifically, the EPROM on the upper right of your picture looks like it's not fully-seated in its socket. (See how the left-hand side of the chip is riding a little high relative to the right-hand side of the chip?)
Also, from the Star Wars docs:
1) RAM 2F/H on the CPU board (a 2Kx8 for the CPU)
2) RAM 5F on the CPU board (a 2Kx8 for the Matrix processor)
3) RAM 5H on the CPU board (a 2Kx8 for the Matrix processor)
4) RAM 3L on the AVG board (a 2Kx8 for vector RAM) ***
5) RAM 3M on the AVG board (a 2Kx8 for vector RAM)
6) RAM 4P on the AVG board (a 2Kx8 for vector RAM)
7) RAM 4L on the AVG board (a 2Kx8 for vector RAM)
8) RAM 4M on the AVG board (a 2Kx8 for vector RAM)
9) RAM 4P on the AVG board (a 2Kx8 for vector RAM)
10) NOVRAM 1E on the CPU board (a 2212 Xicor 256x4 NOVRAM)
11) EPROM 1F or 1M on the CPU board +++
12) EPROM 1 J/K on the CPU board
13) EPROM 1 K/L on the CPU board
14) EPROM 1F or 1M on the CPU board +++
15) EPROM 1 H/J on the CPU board (The daughtercard for ESB)
16) EPROM 1 L on the AVG board ***
Obviously, some of those ROM locations won't apply to you because many of the chips have been replaced with the larger chips on the daughterboard, but the 16th beep indicates an error in the bank of the vector ROM associated with the Star Wars half of the conversion, and errors there will result in games able to run self test, but unable to display the results.
Which brings us to...
Plan B:
I haven't seen this conversion kit before, but I'll bet that daughtercard is supposed to plug into the CPU board, not the AVG board.
So if reseating that EPROM on the daughterboard doesn't work, check the AVG board at 1L, and see if there's anything weird going on. I'll bet there's a 2764 there with a couple of pins bent out, and some wires soldered to some of the overhanging pins.
The game select pin should be pin 2 of AVG-1L, if I recall correctly - I'll bet that a wire soldered to there is hanging loose, or wasn't connected to the rest of the kit. Could also have gotten knocked out when putting the board set into the card cage. Could also be just fine... but the wire that connects it to the daughterboard has been disconnected from the daughterboard. Or the switch that selects Star Wars to ESB. All depends on how the kit was intended to be wired up.