Where do you get the Mystic Ticket , Aurara Ticket and, Old Sea Chart..

Mystic and aurara you get from ar on ruby safire get Mew from leafgreen for chart beat elite 4 you're mom asks you red or blue for your choice of bird you go out and find it

You can just get the tickets by cheating or nintendo event

And for latios I have a good strategy for catching it:
1)get an acro bike
2)have 10 of any kind of repel
3)if you wanna catch it with masterball have any lvl40 Pokemon if no then have a lvl40 wobbufet
4)go to route 110 in front of the cycling road
5)there is a grass patch there use your ____repel and bring your lvl40 Pokemon on the team's 1st
6)equip your acro bike and bunnyhop (jump up and down) in the grass patch for around 30 secs ((you have to move while jumping))
7)if it didnt appeared go into the door near you and come out againand try again (if your max repel wears out just use it again
repeat this until it appears
NOTE: this works only in emerald

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All those tickets can only be obtained by going to nintendo events or cheat device.
After you beat the league you will return back to littleroot town, go downstairs and watch the tv saying theres a mysterious Pokemon flying above hoen, then your mom will ask you what colour is it, if blue it's latios and if red it's latias. Catching your lati_s will be difficult, try not to use fly all the time and use a lot of max repels.

You can use a cheat device or attend a Nintendo Event.