There's nothing wrong with laminations for the top, as long as you overlap or stagger the joints. You can end butt two pieces, but the piece next to that joint must run for at least 6" on either side and so forth all the way across and all the way down the length.
The legs are less critical because the loads are vertical or downward, so they can be side by side and the more pieces the stronger the entire assembly will be. It will be stronger in fact than solid wood!
I like the table as proposed with the legs at the far ends. That will provide more flexible seating.... no center posts to straddle. It's like a "library" table if I recall:
or this one:
The aprons need to be double laminated, with staggered joints and they will also be quite strong. So, the real challenges come from these issues:
How to glue up the entire top from your smaller pieces
The leg to apron joinery.
You will need to decide before hand if you feel capable of attempting both of these challenges. If not, I would bow out gracefully and no guilt feelings needed. Like I said even I would find it a bit challenging, but certainly doable with my skills and equipment.... hand tools, planes and chisels, table saws, bandsaw, jointer, thickness planer, drum sander, router table, drill press, dust collection ... etc.