Some thoughts & suggestions:
1. Your pads for BAT+- are quite small, they will be very difficult to solder wires onto. I would go big (5x5mm min), you have lots of board space.
2. What current level do you intend for the battery to be charged at? Your traces for the main current path are very thin (probably only good for a few hundred mA) but the TP5000 charger chip that can do whole amps.
3. It looks like the TP5000 datasheet does not show or talk about PCB layout

Usually this is very important. The datasheet does include a photo of an example circuit, but that is not much. At a minimum you want the high current path inductors and high current path capacitors to be as close to the chip as possible, with thick traces for these paths.
4. Consider using GND plane pours on both sides, stitched together with vias. This may help avoid some circuit misbehaviours caused by unexpected ground voltages.
5. Please attach images here on the forum, rather than hosting them offsite. Offsite hosting dies after a few years and people will be unable to read or learn from your topic any more. Also your schematic picture seems very small and blurry (maybe ibb.co resized it?).
Aside: For your first board design I might suggest you use a simple linear charger IC that is limited to a few hundred mA and has a lot less parts, such as the TP4056. Your TPS5000 is a big switchmode 2A charger with a Chinese datasheet and lots of supporting parts. There are more things that can go wrong with more complicated designs.