I agree with what DocPixel and Craig said.
However, I can see something on the first one. I can understand your logic behind it, but I would change the symbol a bit. I know it’s quite close to IT (network specifically), but it also reads M? Or 2 Ms together? (MM). That could create a bit of confusion. Also, if your client thought the same thing with me, that this symbol only relates to network, maybe that’s why he wants a bit more detail. But he probably doesn’t know that the detail is not the solution (as Craig said).
I would try to change the symbol, change the shape of it and maybe add a few connecting dots instead of having only 2. And if he really insists on more detail, why not try something like these:
You can also go to https://thenounproject.com and type in the search field computers or something. You’ll be surprised how much inspiration you’ll get from that website.
Regarding your bottom one, sorry but I don’t see anything on this one. Maybe I don’t get it. But if I, a designer, don’t get it, imagine people that don’t have anything to do with design…
Hope I helped and didn’t confuse you more! Let us know how you get on. Good luck!!