Parsing

In many cases, the people who will be surplus to requirements will have spent many years in school and university building up their skills.

In many cases - an adverbial;
the people who will be surplus to requirements - a subject;
will have spent - a predicator;
many years - a direct object;
in school and university - an adverbial;
building up their skills - secondary predicate: [and will be] building up their skills.

Is my parsing acceptable?