I can try to help you more if you can wait until I get back to the office next week, as I doubt I'd be going in today through Tuesday. I'm not really a computer guy, but off memory, yes, you'd need a signal cable from the 35900E to the ELSD. Ours ELSD takes two bare wire or spade terminals for the signal, and the plug that goes into the 35900E is the same as used on the old 3396 type integrators, so you could cut off the other end and strip the wires there if you have one of those.
The HPLC autosampler module has an upgrade (if you don't have it, sounds like the BCD Contact Closure Board -- Agilent Part PN G1351-68701 and BCD Cable -- Agilent Part PN G1103-61611) for about $350 which controls the contact closures of things like your ELSD; this can be used to autozero at the beginning of each injection, etc., if desired. Yes, there's a computer "hub" which I got at CompUSA and was cheap. I don't know about the Chemstation software for additional A/D (Software module to add control of and data acquistion from 35900 converter and autosampler) -- Agilent Part G2073AA; I don't think any of our three Agilent HPLCs using A/D have this. As to the TCP-IP LAN MIO board for Host Communication -- Agilent Part 35900 OPT - I do remember something about TCP when I re-loaded the software, but I don't know exactly what it does; we originally had Chemstation A.07 and GPIB communications with this (I think with an internal A/D board), but had to upgrade to A.09 to use ChemStor data security system, and the engineer changed it over to LAN communications when he upgraded to A.09 and a non-HP computer.