Touching without washing hands, necktie knot, afternoon nap

A few questions:How is it permitted to eat food that was touched by the hands of non-religious Jews (such as in restaurants), since they don’t wash netilat yadayim in the morning, and it’s forbidden to touch food before washing hands?Is it actually permitted to tie a necktie on Shabbat?Is it really a problem to take a nap in the afternoon (whether during bein hazmanim, when it’s important to rest a bit, or even in general)? From the Sefarim it seems like it’s better not to sleep — what’s the real explanation? Is it truly better not to sleep? And even if it is allowed, should it be limited to just half an hour or only a short nap?

Shalom UvRacha,

1. Be'dieved (after the fact), food touched with unwashed hands is not forbidden.
2. A knot that comes undone with a single pull — like a standard necktie knot — is permitted.
3. It all depends on what a person needs.