Hello, and welcome. I am a licensed attorney and happy to assist.
I'm sorry to hear of this frustrating situation, but happy to say that you do have recourse. If you rented the unit with DirecTV intact, it is part of the package and cannot now be taken away. Doing so constitutes a reduction in housing services and is not permitted. You have a right to demand return of your DirecTV and repair of your internet cable, and should do so in writing. If not remedied within a reasonable period of time, you may have a right to reduction rent to compensate for the loss, and may be able to make the repairs on your own with the deduction in rent to follow. Just be careful if you choose the remedy, because landlords often file evection actions when tenants take this route, claiming nonpayment of rent. The best thing to do would be let the court decide ahead of time. More on that in a moment.
It looks like you live in Los Angeles, which pretty stringent rent stabilization laws. If you live in a rent controlled property, and if your demand for repair/replacement goes unheeded, you can file a complaint with the rent stabilization department which could order the landlord to remedy the problem or provide you with the reduction in rent. You could also bring a direct lawsuit against the landlord to have your services restored, if it gets to that point . Given in your area code, the action would likely be filed and heard in Santa Monica (neither downtown nor Beverly Hills hears landlord/tenant actions anymore. The judges there are strict about tenants who don't pay rent, but don't hesitate to step in where tenants are not getting the benefit of the bargain.
I hope this helps. If you need additional information or clarification, just let me know. I'm here to help. If I have addressed your issue, please remember to leave a positive rating when prompted.