Please support me. Do I need to start a new line?

No. The phrase "please support me in anticipation of" is usually written at the end of the body of the letter requesting support from the other party to express their earnestness, and does not need to start a new line. "Please support for hope" is an inverted sentence, the normal order of "hope, please, be supported", "hope" for the verb, please "for the" auxiliary verb, meaningless. Auxiliary verb, meaningless, can not be used, but in order to write and show respect, generally is needed; "to support" for the verb-object phrase as a noun. Generally, this form of language applies to the "application".