Thanks-I do have a manual for the 3800 that covers the 1177 injector and the type 1 EFC. I've tried to make heads or tails of them, and I'm not convinced that everything is working correctly. 
Fortunately, I was able to locate the purge vent line-it's a teflon tube right behind the valve mounted at the top of the oven. I did set the flow rate I wanted and adjusted the purge to 2mL/min per my electronic flow meter. 
I'm still not getting any flow out of the split vent, though, and I'm wondering if the valve is defective. I've gone over that area of the instrument and made sure all the connectors were seated. I was running it at one time with the plastic tube completely disconnected. It turned out that this was PROBABLY a good move, as somehow or another it had pinched in the instrument side panel. I got that straightened out, though, and the line blows clear when I put compressed air through it, so I don't think it's the issue. 
When I toggle split mode(with any split ratio-I've tried a range of settings from 1:1 to 400:1 and a bunch of more typical ones in between like 10:1 and 20:1) and I get no flow out of the split vent. I initially measured none with the flow meter, but hooked up a good old fashioned soap bubble meter and then even tried the expedient of the tube in a beaker of water. 
I agree with your general assessment of how primitive on the whole this instrument is. The flow controller technology seems about on par with my EFC 5890, and definitely a step behind the 6890. On paper the 3800 does seem like a great GC, but I have a hard time imagining needing 3 inlets and 3 detectors. I'm honestly wondering if I should try the 3900 GC I have here that went with a long-dead Saturn, although I've never seen any documentation that discussed the pairing of that particular GC with a 1200 or 300(although the Saturns could be specced with either a full blown 3800 or the stripper 3900). 
I do agree with you also on the software. Now that I've been using it for a month or so, I've gotten very comfortable with it. With the MS in particular, it's a lot less "turn key" than ChemStation and you have to have some idea of what's actually going on in the MS. I'm glad to actually get that hands-on experience, though. The example I've been using is that when I do SIM on an Agilent, I'll often write a custom tune file that widens the peaks up a bit and also increases the EM voltage to maximize the SIM signal. With EDR on the Varian, the latter is unnecessary. For the former, it prompts you(both for various MS-MS modes and also SIM) to select both Q1 and Q3 resolution, so the "back door" I have to use to do that on Agilents is instead right in my face on the Varian. 
It's actually making its teaching debut hopefully this week. It will be in a 200 level(first semester science major) chemistry lab with me doing a demo. Given the target audience, I'm not going to talk about MS-MS. For the time being, I have a grad student dominating the 5975 so getting that is hard, and I love that on the 300, it's easy to point out all the major parts of it without breaking vacuum. I'm hoping it gets more teaching use in the coming year.