My advice: Work on the second point, get contacts.
Send an email to people working on related topics, ask them if they would like to take a look at your work, if you can ask them a question, etc.
If possible, try to contact PhD candidates or recent post docs, as they often have more time available than a professor and might be more willing to look at what you did. For that you should have a nicely written, complete draft available, that is both short and informative and that is nice to read - for example: don't put way to long equations, try to drop these and state that "one can prove, that...", maybe adding that you will send the proof if needed.
Once you have established a contact, the first thing should be to find out if what you did is really worth a publication. Maybe it is already known and you simply don't have access to the journal? Maybe it is not interesting enough, e.g. it might be considered a simple homework exercise for someone who is an expert on the field?
If the expert agrees that what you did is indeed new and a nice result worthy of being published, ask him for advice to proceed. If possible, get him as a co-author or ask him to refer you to one. Such a co-author might take care of things like
- Literature review.
- Explaining why the found results are important and have an impact on topic X.
- Which journal to send to?
- Given his (known) name, journals will no longer reject due to unknown author.
Of course you would not be the single author anymore and people might think that your co-author came up with the idea. How to deal with this topic depends on what you plan to do next: Do you want to go for an academic career? Do you say you don't care as long as people get to read your results, because you are only doing research in your free time and it will most likely be years until your next publication?