This statement doesn't make much sense to me.
Power pins and signal pins for i2c bus are different and are separate pins.
i2c uses 4 pins: power, gnd, sda scl
What are you meaning by: "fire all the analog pins"
"analog pins" are pins on the micro-controller, they are not used for i2c.
Now on some micro-controllers like the AVR used on several of the Arduino boards, analog pins can be re-configured as digital pins or as sda and scl i2c pins.
For example, on the UNO, The Wire library will configure the A4 and A5 analog pins to be used for sda and scl instead of using them as analog pins.
i.e the same physical pin is reconfigured to be an i2c bus signal pin.
Being a beginner is perfectly ok.
We can walk you through easy to use solutions.
But we need certain information to be able to do that.
What we are struggling with is a lack of information about your project including the h/w that your project uses, how you intend to use it, and some of the information you are providing is inconsistent.
We are asking specific questions so we can offer solutions that solve your needs but you are not answering some of the questions which makes it impossible to provide you with a nice easy to use solution that solves ALL your needs.
Based on the things you have said so far,
the solution you have chosen does not do all the things that you told us you wanted do.
i.e. you said you wanted/needed some things and then picked a solution that doesn't do everything you said you wanted/needed to do.
So the solution you selected doesn't make sense to me.
You started off showing a sketch that used the Adafruit_INA219 library which is hard coded to use the Wire library.
Given you showed a sketch using that Adafruit library, it was assumed you needed to have support for that device and library in your sketch.
Maybe your final sketch doesn't even use that device. We don't know.
You also said:
1 - I need all the analog pins
2 - I2C Arduino Serial Module For LCD
You also said you wanted an i2c lcd library that worked with 16x4 displays.
Some of the things you said you needed appear to not be technically possible given the information you provided so far.
That is why you are being asked for additional information, which you never provided.
Then you picked a solution that doesn't appear to solve most of what you said you needed.
If you don't need to free up the pins used by the Wire library and will be using the INA219 on the Wire library pins, why are you not putting both the INA219 and LCD on the same i2c bus. i.e. use the same 2 pins to control the INA219 and the LCD and use the Wire library to access both vs mess with a s/w i2c library for the LCD so it can use 2 different pins?
i.e.
If all you wanted/needed was an LCD with a PCF8574 based backpack to run on alternate pins, that didn't interfere with the Wire library and it's pins but were still going to be using the Wire library for something else then you should have said so.
(Although I don't understand why you would want to do this since it would be much easier to control both devices using the Wire library using the same 2 pins)
There is a simple way to use SoftwareWire with a different object name than Wire and then trick the hd44780 library into using it.
I didn't go down that path because that solution would not solve all the things you said you wanted/needed.
After all this back and forth I'm still not clear on what h/w you have and what you are really trying to accomplish.
Maybe it is all from a simple misunderstanding of how i2c works and that i2c can control multiple devices using the same two pins. If so, it means that you don't need a separate i2c bus for the LCD which means that there is no need to mess with a 2nd i2c library to use alternate pins.
Or maybe there is a simple misunderstanding that on some boards like the Leonardo the i2c pins used are the same physical pins as D2 and D3 instead of A4 and A5 so there is nothing that needs to be done using the Wire library and i2c other than to avoid using D2 and D3 for anything else since those are the same physical pins as SDA and SCL.
We simply don't know because we don't have enough information about the h/w.
I'm trying to be helpful but I guess I'll have to walk away from trying to provide any help here since I can't be of any help with such limited and conflicting information.
--- bill