questions on my meditation practice? My goal with meditating was related to improving my concentration for academic reasons. At first I came across a method of meditating where I count out my breadth and avoid thinking of idle thoughts. 

I had a lot of success with this method and was able to focus much more but at a later point I grew curious on what happened if I didn't count at all or didn't pay attention to my breadth at all.  So I repeated this process which was now easier just without any counting or attention. I again had success but my mind was very much blank at all times, it gave me some fright, I wasn't sure if it was going to be something harmful since I usually pick up on tiny details that relate to whatever I am doing but now my mind was just blank, so I stopped practising meditation as a whole for a while.

I have recently discovered that a lot of things I have been attempting already exist so I am wondering if:


There are any better ways then what I have been doing to achieve
higher levels of sustained concentration?
What end results I will face if I venture back into completely
clearing my mind rather than improving its ability to focus through
breadth counting?
If there are other components that seem useful to my goal that
certain kinds of meditation can improve? 
I also don't have much of an opinion on the forehead sensation that
is commonly called a third eye but I can control it at will, I would
also be wondering if there is anything particularly special about
increasing the sensation or not?


Any help is kindly appreciated. I have also been gradually resuming my breadth counting meditation with success.  



(edited to add:)

I am happy and my mind is calm but it is filled with songs and memories that I like but are not related to the task I am working on and as a result get me distracted from it. As such I wanted to make my thoughts silent at will so I can keep focusing on tasks which make me less happy than my thoughts do.
sure here is the way to set the citta into  right samadhi, contrary to whatever wrong samadhi you have developed,
with this sutta https://www.accesstoinsight.org/tipitaka/sn/sn55/sn55.040.than.html, it is first physical seclusion, which means less distraction, fewer objects cognized, then it is mano which has piti and the kaya has passambhati then sukhaṃ vediyati, and the citta has sukhha then samadhi.

the way to get piti with mano is to sort out your Vitakkas with sati, ie satisampajanna, Satipatthana, ie knowing when a Vitakka arises, then judging it as either wholesome or not, and  knowing when it vanishing , and if it is unwholesome dropping it  by thinking of something good [instead of letting the bad thought proliferate] and when you have wholesome thoughts, you get glad to have wholesome thoughts. Same thing with feelings and perceptions.

In other words, when you have good thoughts, you are happy and when you are happy the citta is calm and enters samadhi.

Of course, before that, you must learn what is wholesome and not wholesome, because puthujjanas do not know what is good and what is bad, and buddha explains that here https://www.accesstoinsight.org/tipitaka/mn/mn.009.ntbb.html