Does God care about me?

Yes absolutely! God loves you and is kinder to you than you even are to your own self! He loved you, that's why He created you! God said:

O Son of Man! I loved thy creation, hence I created thee. Wherefore, do thou love Me, that I may name thy name and fill thy soul with the spirit of life. - Baha'u'llah

God loved you even before you were born, and when you were a tiny baby he organised sweet milk for you to drink, and eyes to watch over you, and hearts to love you.

...ere thou didst issue from thy mother's womb, I destined for thee two founts of gleaming milk, eyes to watch over thee, and hearts to love thee. - Baha'u'llah

In fact God cares about you so much that everything He created in this world was specifically for your training/learning and development. The trees, rain, sunshine, stars, clouds - everything! God said:

Out of the wastes of nothingness, with the clay of My command I made thee to appear, and have ordained for thy training every atom in existence and the essence of all created things. - Baha'u'llah

He organised all these things for you without you even asking Him for them. These are all examples to show how much God cares about you and loves you.