The Alarm LED is on solid. That is a fatal fault with the PLC. If they used an EPROM, then the program is intact, and the PLC is bad. Replace the PLC with another from eBay. That way, you don't have to rewire and replace/reprogram HMI.
If they only used a battery, then the program is lost and we need to start over. I can't believe someone would ship a machine with the program in battery-backed CMOS only. That assures death in 5 years. Steelhead specifically states on their website that their machines last longer than 5 years.
First, you need a PLC guy to check that one to see where you stand (Question #1 - Do we still have a program?).
Is the price for a new PLC from Steelhead high? That's your budget for a new PLC and recreating the program.
This machine appears simple on the surface, but there's quite a bit happening inside.
The C28K has 12 outputs. It's reported 11 are used. That sounds about right. Based on the specs for an Ultra 75, the machine cycles are wash, rinse/sterilize, fill, and cap. Robot arm transfers bottle. Ram for capping. Simple HMI with keypad and 4 line LCD. (Datasheet has quite a bit of info on hardware, including PLC used).
The lowest cost approach would be to use another C28K to avoid having to reprogram the HMI (unless the HMI is dumb and had significant code in the PLC). If they used battery-backed alone, the PLC is probably okay, and only a new battery is needed. Upgrade to an EEPROM so this doesn't happen again.
If you opt for a new PLC, then the battery issue goes away. Nothing available today uses battery alone for program storage.
Sounds like a fun job, but I'm in Texas. Because you have schematics and operation manual, there's enough information to assume 100% success without any help from Steelhead.