Lily jokes that her dad wouldn't pay for a Lily-Marshall-Ted wedding (implying he is helping pay for Lily and Marshall's). Though at this point in the series Lily isn't even on speaking terms with her father, so he wouldn't be involved at all.
When Ted takes off in the moving truck while Barney is in the back with his date, Barney flies back against the side, but when he gets up you can see his microphone pack attacked to the back side of his belt. (Green power light lit even showing making it even more obvious)
Ted says his charger is in the moving truck, indicating he can't recharge his phone. However, in episode 'Nothing Good Happens After 2 A.M.", Ted and Robin talk about having the same phone, so they would also have the same charger.
We see ted teaching barney how to drive a car. Even if barney says he won't drive anymore, we can see in lots of episodes barney driving cars. For example in 4th season barney gets stopped by a police-girl or in 8th season he drives until Atlantic city.