If you power up the A3000 into just a command prompt and type "avail" then you should have pretty close to 2Mb chip mem if the 2nd Mb of chip mem is fitted. Try reseating all the ICs from U267 to U274 (the 2nd 1Mb).
If you have a "softboot" ROM where the kickstart is loaded from disk/HD, then the kickstart will permanently eat up 512k of memory, which might explain your problem.
Hold down both mouse buttons on power up, if you see an OS 1.3 - 2.0 selection menu, then you have one of these.
Not sure about the ZIP to SIMM adapator, never seen one before.
There is a single jumper to select which size ZIPs you are using, so try that one.
Obviously you need to make sure you're using the right kind of SIMMs and each pin is socketed properly.
I doubt if it'll work if you have any fast memory in the DIP sockets just to the front of the ZIP sockets, so remove that if fitted.
Also check out:
http://www.feagurth.net/Amiga/A3000Data.HTMLLots of useful info on A3000s.