You have the opens event for screen “2” twice, better combine them into one. This has no effect on your problem but a good practice to do.
See my comments on your code
You are having your list of entirelist as list inside list which will result in the search function to fail. You need to remove the “list” with a gear which I circled in function “update entire list”
In your function “updatetemplist”, you are adding the variable to itself in the [in list…]. The first variable in the “in list” block should be a list and in this case “templist”.