Try starting from scratch.

Install Java first. You can either update to the latest version here (I have this one & LW's working fine): Java SE Downloads
or try this older version, which has worked well for lots of people: Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11
Whichever Java version you use, download the JRE offline installer & remove any other Java versions installed on your computer before installing another one.

Next, reinstall LW & make sure to use the offline installer. When you click to download & a dialog box pops up, cancel it. Now use the option to download the offline installer
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