Saying that the major accidents were not the shuttle's fault is a little silly, simply because the orbiter herself is useless without the ET and SRB. The STS's compromises drove the design, and resulted directly in the accidents.
The accidents that have happened were a result of the engineering compromises of the overall system and some dreadfully lousy engineering management practices.
Feynman had some smart things to say -
read me. It could be argued that the STS project is a failure: it never attained the (admittedly highly unrealistic) flight rate goals even in the good ol' days, and until relatively recently was an airliner in search of a destination.
Standing up STS again is just about impossible - there are no spares, the part/supply chain contracts have been terminated and no good way to get the program running again without spending an ungodly amount of money owing to the shutdown of the supply chain.
None of this should be construed as an argument against manned spaceflight, just a sad statement of the mess that is NASA Manned Spaceflight.