Where can I find intresting events or activities that can be done during the morning both outside or inside the city?
you can enjoy karting @Manja International Circuit the weather is amazing
Where can I have breakfast at 7-7:30am?
have a look at this blog: "http://blog.tipntag.com/the-weekender-17-breakfasts-for-the-early-birds/" it has all the info you need
Where can I find Babiche located in Abdoun?
@Babiche Patisserie here is their info, they have two locations; one in Abdoun and one is Shmeisani, just click the arrow next to Babiche and you will find Abdoun branch.