The first bullet is possible with the JetBrainsRuntime, a fork of OpenJDK: https://github.com/JetBrains/JetBrainsRuntime
The second bullet is a headline goal of Project Valhalla, however it is unlikely to be delivered in quite the way that a C# (or Go or Rust etc.) developer might expect. The ideal version would allow any object with purely value semantics [1] to be eligible for heap flattening [2] and/or scalarization [3], but in experimental builds that are currently available, the objects must be from a class marked with the "value" qualifier; importantly, this is considered an optimization and not a guarantee. More details: https://openjdk.org/projects/valhalla/value-objects
The third bullet (IIUC) is addressed with the Foreign Function & Memory API, though I'll admit what I've played around with so far is not nearly as slick as P/Invoke. See e.g. https://openjdk.org/jeps/454
[1] value semantics means: the object is never on either side of an == or != comparison; the equals and hashCode methods are never called, or are overridden and their implementation doesn't rely on object identity; no methods are marked synchronized and the object is never the target of a synchronized block; the wait, notify, and notifyAll methods are never called; the finalize method is not overridden and no cleaner is registered for the object; no phantom or weak references are taken of the object; and probably some other things I can't think of
[2] heap flattening means that an object's representation when stored in another object's field or in an array is reduced to just the object's own fields, removing the overhead from storing references to its class and monitor lock
[3] scalarization means that an object's fields would be stored directly on the stack and passed directly through registers