Your exact query is this: "That once I e-file the case myself, no lawyer would be able to fight my case, as per the rule and I myself would have to fight the case, without any lawyer."
There is no such rule and a competent advocate can enter at any stage of proceeding with such vakalat in his name. Contact some other advocate for more clarification.
It is always proper to entrust the case to a sincere advocate as getting admission and numbering are crucial and that should be done with the minimum period.
The treatment given to the advocate and to an individual is generally different by the courts.