I see you have found some plausible images of detoriated painted surfaces. Also the knackered black text is quite plausible except its paint is not at all washed out during the years. If that's wanted, washing the colors by painting over is already presented in another answer.
Obviously you have still not tried to erode text RESTRICTED AREA, which is a hole in the red paint.
Your problem: Your texts are razor sharp, but the surface textures are not. They should have also some sharp details. Otherwise the texts seem inserted afterwards.
One possiblity to add the sharpness is to make a black and white copy of the image, posterize it to few greyshades and adjust the contrast with levels or curves tool. Increasing the contrast is useful to do before posterization. I have done them in Paint.NET (= freeware, quite capable photo end bitmap image editor):
With reduced opacity the BW layer appears as sharp details. NOTE: Your image had a large red area which is quite dark. Its contrast and brightness is adjusted separately to prevent it to become black in posterization.
The result, when the opacity is reduced:
It's useful to add a layer which adds some grain (=noise) and washes the colors. I painted some white, blurred it with gaussian blur, inserted greyscale noise and added another layer with blurred white without noise. Against solid black the added layers are these:
With reduced opacity(and the black layer removed) the result is:
NOTE: The difference between this and the original is obvious only when zoomed in.
The washing effect can be reduced in black areas by moving the posterized BW layer on top:
How to make synthetic eroded textures
These need something random. Paint.NET has noise and texture synthesizing filters. It hasnt layer masks, adjustment layers, smart objects, smart filters, layer styles, vector shapes nor vector texts, which in Photoshop make non-destructive work possible. If you make an error, you cannot readjust like in Photoshop, you must go back. For it make spare duplicate layers and intermediate savings. Paint.NET has still a good set of basic tools and filters, plenty of them as standard and much more as downloads.
1. Detoriated text hole in a colored layer
At first we make a white text on a solid black layer. We have not vector texts, so we need good contrast. We use the text for making selections in other layers to keep it available in case of errors and other reasons to make multiple selections.
We add a new layer "Grey+noise". We fill the layer with 50% grey. Then
- make a selection in the text layer. Select with magic wand the black part with low selection tolerance in the tool options panel, say =1% for sharp result
- inset to "Grey+noise" layer colorless noise with max intensity and coverage. The text should stay solid grey.
Remove the selection (hit Ctrl+D). Insert Gaussian blur:
Insert a new bottom layer and fill it with a solid color. We added dark red.
Now in Grey+noise layer select the grey letters with the magic wand. See the tool options panel: The Magic Wand is in union mode with 3% tolerance. The letters are selected by clicking them one by one:
Goto the solid color layer and hit DEL. To see the hole, shut other layers:
2. Surface textures
Paint.NET has cloud synthesizer filter like Photoshop or GIMP. We misuse it. With no softness it makes something which resembles worn surfaces. We have black foreground color, but other colors work, too:
If we put the "Cloud" over a solid color layer and use reduced opacity + some blending mode other than normal, we can modulate the underlying color. Here we add the brightness with blending mode ADD:
Black affects nothing and white makes the color washed. Test also other blending modes. Weird effects result if the Cloud isn't black and white.
3rd party filters such as Recolour Choice and TR's ColorizerHMS can make the BW cloud colored. TR's Alpha mapper can help the lack of layer masks. It turns the brightness to transparency:
Surface erosion is often 3D. Embossing is the effect which creates an illusion of depth. It simulates microscopic shadows. It's demonstrated here:
The lower part has the cloud with emboss (Effects > Stylize > Emboss) and some contrast boost. The upper part uses the embossed cloud to add the brightness. Blending mode=ADD.
3. Random holes
You can start from maximum strength grey noise, which is blurred. Then convert it to BW with the levels tool. The levels tool is used as treshold effect. In the left there's the noise, in the middle it's blurred and in the right it's tresholded. You see the tresholding dialog:
A solid green and a solid white layer were added. The green got the holes and the white layer is the background that makes the holes well visible.
With the magic wand all black were selected, the selection was inverted and in the green layer DEL was pressed. The result:
4. Winding down:
One 100 % synthetic Paint.NET image, where all presented is in use: