You don't say here, but other posts suggest that you have a 2014 model. At that time I believe that DC charging was only an option. If yours does not have the extra two-pin DC charging socket at the bottom of the charge port, your options will be very limited. If you don't have that option, it probably won't be economically viable to add it - not least because the cost of using public chargers is so much more costly that AC charging at home (in the UK, often ten or more times the cost of overnight AC charging at home on an EV tariff).
Even if you could justify the cost of adding DC charging (probably requiring the replacement of two expensive modules - the EME and KLE), it would not help for home charging, as DC charging equipment (outside the car) is very expensive and would require a 3-phase supply to your home.
Similarly, upgrading to a larger battery probably won't be viable either - typically the cost will exceed the value of a car of that age. I'm aware of one company in the UK that will install secondhand batteries, and that might be a way to go from 60Ah to 94Ah (but possibly not to 120Ah due to technical issues). But again, the cost would probably near enough equal (or possibly exceed) the current value of the car.