I already know the main use of have when it's is used as a command:
I had the security kick him out.
I also know its use in sentences of cause, for example:
His jokes were so funny that they had me laughing
But I still don't know if verbs must be in the infinitive form or in the gerund form in sentences such as:
I had a bullet go through my arm.
I had a fan send me a present.
I had my lips bleed because of the medications.
(I believe I would use "bleeding" if I had said "The medications had my lips bleeding" because the verb have would be used as cause)
Just one more thing, can I replace have by got in this kind of sentence?