1. Yes. If you actually own a patent portfolio that you value highly, you may want to use a custom, narrowly worded grant. This license might not be for you. This license is for the 50+% of open source projects currently using MIT.
2. I don't quite follow the problem you're outlining here. The Apache license tries to scope its patent license only to actions that "necessarily infringe" on the Work and the Contributions to it. I'm not sure how you mean for (sub)licensing to fit in.
3. The patent grant is intentionally simpler and broader than, say, Apache. There's no clawback provision, and in short, it gives you: "usage rights to any patents the authors may hold on the software." It doesn't give you the right to use the authors' unrelated patents. The balance here is struck to give more protection and confidence to the user of the open source, not to rigidly protect the potential software patent holder. I think that's the right way to lean.
4. This rhetoric around offensive and defensive uses of software patents is what's keeping Facebook in such hot water with GraphQL and React right now. The only way to use a software patent against someone is offensively — it's a MAD-style threat of legal action. If you want mutually assured patent annihilation, then don't use LIL to release open-source software that uses your patents. It's not a great mix.
5. In US patent law, you can sell your patent, prevent other people from making use of it, or license usage rights to it. The latter is what we're doing in this case. (https://www.legalzoom.com/articles/selling-your-patent-what-...)
6. That is a great question. And it would be good to eventually have a wiki page, detailing compatibility with various alternative popular licenses. As a permissive license (more permissive than Apache), my best guess is that it would be generally compatible — but we should look into it further.