I woke up after Netz and washed Negel Vasser and then fell back asleep, when I wake up again do I need to wash by my bed again?
No. But you must wash (by a sink etc.) with a Bracha after you get up and are ready to make the Bracha, as usual. See here: https://asktherav.com/article-623-must-i-wash-negel-vasser-after-a-nap/ …