To allow is to permit or acknowledge something, the way a teacher might allow a student to be absent, or an insurance company might allow a claim. While not necessarily an enthusiastic show of support, allow implies no effort to hinder something from occurring. Acquiesce, on the other hand, is full of reluctance. To acquiesce is to assent tacitly, or to submit or comply silently or without protest. Typically when a person acquiesces to or in something, they're not thrilled about it, but after objection, debate, or negotiation, they're accepting it with a degree of resignation.
The very common adjective successful is most often used to talk about the attainment of goals or wealth, as a successful career or successful entrepreneur. The synonym fruitful describes things that are or have been highly productive, particularly discussions, collaborations, or intellectual efforts that are constructive or that promise to yield fruit (the metaphorical kind) in abundance. May your writing be fruitful!
The verbs start and commence both describe beginning something or setting something in motion. But the more formal commence is typically reserved for beginnings of a particularly momentous and elaborate sort. Things that are commenced, such as ceremonies, legal proceedings, and commercial operations, are involved and often procedural. A commencement ceremony, though it takes place at the end of an academic year, marks a beginning of a new chapter in life. While commence is a fair alternative to the verb start, it may come across as affected and stiff outside of formal contexts.