Try to sort of VIBRATE each note you play
to get that prolonged sound 
SPECIALLY WITH THE NOTES MARKED WITH A STAR (*)
and listen carefully for the timing.

P.S- This is my first tab so I hope it's correct? 

e|------5-----5-----5-----------5---------5------------------5--|
B|--7-5---7-5---7-5---7-5---7-5---7*--7-5---7-5--------5-7*-8---|
G|------------------------7---------------------7--6*-7---------|
D|--------------------------------------------------------------|
A|--------------------------------------------------------------|
E|--------------------------------------------------------------|