New. Nearly always the sense of newness is implicit and the word can be deleted without loss. For example "Spiderman 3 aims to set new records at the box office" -- well it was hardly going to aim to set old ones.
Noisome has nothing to do with noise; it means offensive or objectionable.
Obviate does not mean to reduce or make more acceptable; it means to make unnecessary.
Optimum does not mean greatest or fastest or biggest, as is sometimes thought. It describes the point at which conflicting considerations are reconciled. The optimum flying speed of an aircraft is the speed at which all the many variables that must be taken into account in flying -- safety, comfort, fuel -- are most nearly in harmony.
Past. Often a space waster that can be deleted without loss. Past records, past history, past 30 years, past experience, past achievement and past precedents are all tautological.
Pedant, pedagogue. Synonyms. In both cases the pejorative sense has driven out the older meaning of teacher.
Plan ahead. Always tautological. Would you plan behind?
Plethora is not merely a lot, it is an excessive amount.
Position. Often a pointer for verbosity. "They now find themselves in a position where they have to make a choice" would be better as "They now have to make a choice."