First of all, cross does not have to be that hard. It should only take 2-3 seconds with 6-8 moves just as Jt said.
During the 15 second inspection, try choosing one of the first face's corners that might will end up in the U layer (assuming you do your cross on the bottom). This technique, corner tracking, is a good way to link the Cross step to the F2L step since it is easier to look for edges once you have found the corner that it goes with.
Next, F2L should be practiced slow and steady until you can get sub 10 in Cross+F2L. Slow and steady, meaning that you shouldn't rush the solve and you make sure that you don't make any pauses. Of course, going slow and steady can only get you so far, therefore you should start turning as fast as you can while keeping the lookahead that you practiced thus getting your F2L to sub 8

.
I hope this helps.
OT: I haven't been in this forums in a while! Good to be back.

So what you mean is that we inspect ALL the cross pieces AND one corner right? Is it okay to find 3 cross pieces AND 1 corner pieces?
try choosing one of the first face's corners that might will end up in the U layer (assuming you do your cross on the bottom). This technique, corner tracking, is a good way to link the Cross step to the F2L step since it is easier to look for edges once you have found the corner that it goes with.
Hmm.. I should try this technique you speak of.. Perhaps I can make some f2l improvements there
Woa. Never tought Jt need improvement.....

(Since in my era, you are the fastest I think

)