Project manager or developer?
Если умеешь общаться с людьми и мотивировать их работать лучше, то иди
Если не возьмут - значит ты не умеешь правльно общаться :)
Карьеру в веб студии не построишь. Для такого нужна большая компания
https://www.wetfeet.com/articles/career-overview-p...PROJECT SCHEDULER 
For larger projects, a project scheduler runs the software, inputting the information supplied by the management team and updating files as needed. This is a technical position that involves a great deal of computer work and little actual management.
ASSISTANT PROJECT MANAGER 
Assistant PMs do not necessarily assist the project manager directly. Rather, they're usually assigned specific tasks to manage. They meet regularly with the PM to report progress and problems.
PROJECT MANAGER 
In this position, you may run a project yourself or lead a management team, delegating task management to assistants. PMs report to the "owner" of a project-whether that's a real estate developer, government agency, or your company's senior management. You oversee budget and schedule, and take responsibility for the project's proper completion.
SENIOR PROJECT MANAGER 
Many large organizations that tackle multiple projects at once (especially construction and engineering companies) employ a senior project manager. The senior project manager supervises a company's various project managers, coordinating the allocation of company resources, approving costs, and deciding which projects should take priority.
Для небольших проектов тебе крайне желательно самому разбираться в предметной области.
Для крупных проектов - ded42.blogspot.ru/2013/07/blog-post.html твое дело нанять нужных людей и из замотивировать.