Would I be considered obsessive and prone to excessive doubts if I experience severe anxiety, stomach pain, and fear of meeting people when I feel or suspect I have been negligent in performing acts of worship?

What you are suffering from is a type of illness, and you must seek treatment for it, and utilize the consultation section on the website. If doubt in worship comes to you at least once daily, such as doubt about washing a limb during ablution or the number of prostrations in prayer, then you are afflicted with excessive doubts, and you must ignore these whisperings and pay no attention to them.