Hi Peter & welcome to the forum.
I am not in any way associated with anyone at the RPS or the distinctions areas, but I HAVE gone through the LRPS process... Just bear in mind that my views are my own!
Looking at some of your images I would say that you have some very striking and beautiful photographs. I would think you have the eye and skills to go for your L. However, I strongly
suggest that you download the Distinctions Handbook from the main RPS site, and read it thoroughly and in detail. When I did my L my handbook was covered in notes I made and it saved me from making some very stupid mistakes when it came to my submission.
It is worth taking time to put your submission together rather than rushing headlong into it, and to really ensure that it reflects who you are as a photographer, as well as the things you like to photograph. Then later on you should be able to see this as part of your developing style and interests.
I would also look at other people's LRPS panels. You can see a lot of these in the 'distinctions' area of this forum. They will help you to understand what a cohesive panel looks like. This matters because your L is not just a case of submitting 10 pictures...
You may also want to take a look at the thread Call for Successful LRPS Panels
Go to an advisory day! Even if you don't take any images, you will learn a huge amount. They're listed in the events calendar
on the main RPS site.
I wrote a series of blog posts about my progression to my L, there's a link below. Obviously this was my own unique experience and things vary from person to person but you might find it interesting.