Third seed Dhawan dismissed rookie Deepa Chakrabarty 6-3, 6-2 while sixth seed Goutham whizzed past a hapless Anupama Rajur 6-1, 6-3.
The other seed in action, eighth seed Murugaboopathy, overcame Sandhya Nagraj 6-3, 4-6, 6-1 in a little over an hour-and-a-half.
In other matches, Ragini Vimal trounced Summer Bhuller 6-1, 6-1 while Rati Kumar defeated Rani Smita Jain 6-3, 6-2.
Unseeded Yamini Thukkaiandi went past Parul Goswami 6-2, 6-2 and experienced Madura Ranganathan won against Harpreet Gill 6-0, 6-3
delivering an word of caution to top seed and winner of the second leg, Liza Pereira, her prospective second round opponent.