The best argument for predeterminism goes roughly as follows: (1) all of the laws of physics are deterministic; so, (2) everything is predetermined.
The best objection to this argument goes roughly as follows: (3) not all of the laws of physics are deterministic; so, (4) not everything is predetermined.
As for "free will," one must define it before one can be in a position to reasonably argue about whether it exists.
The opposite of determinism is indeterminism. Both have problems with free will. If determinism or indeterminism is true is beyond an answer, because we are limited beings. There is one severe problem in applying natural scientific perspectives on human decisions, because natural scientific perspectives usually are deterministic. Yes, there is a long lasting discussion in western philosophy about the mentioned problem and associated problems: e.g. the induction problem (since Hume), the body as machine metaphor (La Mettrie, Descartes), the mind-body-problem (currently see Nagel). To me the question of determination depends on discussions in metaphysics and to the idea of an all knowing god. But a human perspective has to admit free will because of responsibility. Are there really new recent arguments? I don’t think so.
To get a glimpse of the contemporary debate of determinism and free will try looking at some of the works from Robert Kane, Galen Strawson and Daniel Dennett. There are many others, but these three represents the main points (I think).